- SBORNIK MATHEMATICS Journal
- July 2018
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- In this paper we give the asymptotic behaviour of type I multiple orthogonal polynomials for a Nikishin system of order two with two disjoint intervals. We use the Riemann-Hilbert problem for multiple orthogonal polynomials and steepest descent analysis for oscillatory Riemann-Hilbert problems to obtain the asymptotic behaviour in all the relevant regions of the complex plane.
- multiple orthogonal polynomials; riemann-hilbert problem; hermite-pade approximations; asymptotic